Can you sue the hospital for causing a condition not related to the admission?

Question Details:

I went to the ER for and pain, nurse started IV (meds never given), was d/c'd 2 days later symptoms occurred again, was admitted for kidney infection. The arm where the ER nurse "poked" 2 days prior caused my arm to swell severely causing cellulitis and DVT. Kidney infection cured in 1 day- never went home, stayed inpatient for 7 days because of the infection. Now I have tons of bills from extended stay!

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